The point P(16, 7) lies on the curve y = Va + 3. If Q is the point (x, Va + 3), find the slope of the secant line PQ for the following values of æ. If æ = 16.1, the slope of PQ is: 0.1238 and if æ = 16.01, the slope of PQ is: 0.1249 and if æ = 15.9, the slope of PQ is: 0.1252 and if æ = 15.99, the slope of PQ is: Based on the above results, guess the slope of the tangent line to the curve at P(16, 7).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 25E
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The point P(16, 7) lies on the curve y = VT + 3. If Q is the point (x, Va + 3), find the slope of
the secant line PQ for the following values of æ.
If æ = 16.1, the slope of PQ is: 0.1238
and if æ = 16.01, the slope of PQ is: 0.1249
and if æ = 15.9, the slope of PQ is: 0.1252
and if æ = 15.99, the slope of PQ is:
Based on the above results, guess the slope of the tangent line to the curve at P(16, 7).
Transcribed Image Text:The point P(16, 7) lies on the curve y = VT + 3. If Q is the point (x, Va + 3), find the slope of the secant line PQ for the following values of æ. If æ = 16.1, the slope of PQ is: 0.1238 and if æ = 16.01, the slope of PQ is: 0.1249 and if æ = 15.9, the slope of PQ is: 0.1252 and if æ = 15.99, the slope of PQ is: Based on the above results, guess the slope of the tangent line to the curve at P(16, 7).
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